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For my Independant Assignment I chose to design and construct a hexagonal-shaped building using several methods of math
FloorTo start off my floor plan, I drew a point in the middle of the page, from where I divided the surrounding 360° into 6 even parts( 60°) with sides measuring 6 cm to form 6 triangles. After connecting the end of each leg, I realized that all three sides of each of the triangles measured 6 cm which meant all three angles measured 60° giving 6 congruent triangles. These 6 triangles made up my hexagonal floor plan.WallsAs you can see in the floor plan to the left, I also added 0.5 cm to the thickness and length of each outside wall. I then added the lengths of each of the 6 outer walls to obtain the perimeter which was 39 cm. After this, I decided to make the walls 6 cm high, which I multiplied by 6.5 to find the area of one wall. I then multiplied this number (39 cm squared) by 6 to find the total area of the walls. I could have also done the perimeter of the base times the height which would have given me the same thing(39 x 6 = 234 cm squared)RoofTo find the measurements needed for the roof, I used the pythagorean theorem. To begin, I made the length from the inner wall to the centre of the hexagon(6 cm) parameter "a". I decided to make the height from the centre to the top of the roof 3.6 cm which was my parameter "b". With this information, I was able to find that the sides of the 6 triangles that make up the roof measure 7 cm (parameter "c"). I then worked backwards using the pythagorean theorem, using the 7 cm as my parameter "c" and half of the length of the bottom(6.5 cm/2) as parameter "a". This gave me the height of the triangular roof panels (6.2 cm).I multiplied base(6.5 cm) times height(6.2 cm) to find the area of one roof panel(40.3 cm squared) , then multiplied that number by 6 to find the total area of the roof (241.8 cm squared).
MathitectureThe wondrous combination of math and architecture
Laura's Independant Assignment
Hexagons can be found everywhere around us; honeycombs, turtle shells, snowflakes, and even Hagrid's Hut from Harry Potter!